11451908832000 has 2304 divisors, whose sum is σ = 51297819955200. Its totient is φ = 2194853068800.

The previous prime is 11451908831999. The next prime is 11451908832031. The reversal of 11451908832000 is 23880915411.

It is a super-2 number, since 2×11451908832000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4306846671 + ... + 4306849329.

It is an arithmetic number, because the mean of its divisors is an integer number (22264678800).

Almost surely, 2^{11451908832000} is an apocalyptic number.

11451908832000 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 11451908832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648909977600).

11451908832000 is an abundant number, since it is smaller than the sum of its proper divisors (39845911123200).

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

11451908832000 is a wasteful number, since it uses less digits than its factorization.

11451908832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 11451908832000 in words is "eleven trillion, four hundred fifty-one billion, nine hundred eight million, eight hundred thirty-two thousand".