87440148432 has 960 divisors, whose sum is σ = 333561507840. Its totient is φ = 21420951552.

The previous prime is 87440148391. The next prime is 87440148437. The reversal of 87440148432 is 23484104478.

87440148432 is a `hidden beast` number, since 8 + 74 + 4 + 0 + 148 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87440148437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505434298 + ... + 505434470.

It is an arithmetic number, because the mean of its divisors is an integer number (347459904).

Almost surely, 2^87440148432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87440148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166780753920).

87440148432 is an abundant number, since it is smaller than the sum of its proper divisors (246121359408).

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

87440148432 is a wasteful number, since it uses less digits than its factorization.

87440148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 87440148432 in words is "eighty-seven billion, four hundred forty million, one hundred forty-eight thousand, four hundred thirty-two".