11254337640 has 1280 divisors, whose sum is σ = 51226560000. Its totient is φ = 2194698240.

The previous prime is 11254337617. The next prime is 11254337723. The reversal of 11254337640 is 4673345211.

11254337640 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 4 + 3 + 3 + 7 + 640 = 666.

11254337640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11254337640³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11254337595 and 11254337604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 274496020 + ... + 274496060.

It is an arithmetic number, because the mean of its divisors is an integer number (40020750).

Almost surely, 2^11254337640 is an apocalyptic number.

11254337640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11254337640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280000).

11254337640 is an abundant number, since it is smaller than the sum of its proper divisors (39972222360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11254337640 is a wasteful number, since it uses less digits than its factorization.

11254337640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 11254337640 in words is "eleven billion, two hundred fifty-four million, three hundred thirty-seven thousand, six hundred forty".