112151904480 has 1536 divisors, whose sum is σ = 519202897920. Its totient is φ = 21921546240.

The previous prime is 112151904463. The next prime is 112151904493. The reversal of 112151904480 is 84409151211.

112151904480 is a `hidden beast` number, since 1 + 1 + 21 + 5 + 190 + 448 + 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 255 ways as a sum of consecutive naturals, for example, 818626972 + ... + 818627108.

It is an arithmetic number, because the mean of its divisors is an integer number (338022720).

Almost surely, 2^112151904480 is an apocalyptic number.

112151904480 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 112151904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259601448960).

112151904480 is an abundant number, since it is smaller than the sum of its proper divisors (407050993440).

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

112151904480 is a wasteful number, since it uses less digits than its factorization.

112151904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 112151904480 in words is "one hundred twelve billion, one hundred fifty-one million, nine hundred four thousand, four hundred eighty".