11848515840 has 1152 divisors, whose sum is σ = 52839198720. Its totient is φ = 2452488192.

The previous prime is 11848515817. The next prime is 11848515853. The reversal of 11848515840 is 4851584811.

11848515840 is a `hidden beast` number, since 1 + 18 + 4 + 8 + 51 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11848515840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176843487 + ... + 176843553.

It is an arithmetic number, because the mean of its divisors is an integer number (45867360).

Almost surely, 2^11848515840 is an apocalyptic number.

11848515840 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 11848515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26419599360).

11848515840 is an abundant number, since it is smaller than the sum of its proper divisors (40990682880).

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

11848515840 is a wasteful number, since it uses less digits than its factorization.

11848515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 11848515840 in words is "eleven billion, eight hundred forty-eight million, five hundred fifteen thousand, eight hundred forty".