11148953400 has 480 divisors, whose sum is σ = 42082619040. Its totient is φ = 2719319040.

The previous prime is 11148953357. The next prime is 11148953449. The reversal of 11148953400 is 435984111.

11148953400 is a `hidden beast` number, since 1 + 114 + 8 + 9 + 534 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35170042 + ... + 35170358.

It is an arithmetic number, because the mean of its divisors is an integer number (87672123).

Almost surely, 2^11148953400 is an apocalyptic number.

11148953400 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 11148953400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041309520).

11148953400 is an abundant number, since it is smaller than the sum of its proper divisors (30933665640).

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

11148953400 is a wasteful number, since it uses less digits than its factorization.

11148953400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11148953400 in words is "eleven billion, one hundred forty-eight million, nine hundred fifty-three thousand, four hundred".