160457631840 has 864 divisors, whose sum is σ = 629585768448. Its totient is φ = 36897638400.

The previous prime is 160457631839. The next prime is 160457631853. The reversal of 160457631840 is 48136754061.

160457631840 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 5 + 7 + 631 + 8 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1263445857 + ... + 1263445983.

It is an arithmetic number, because the mean of its divisors is an integer number (728687232).

Almost surely, 2^160457631840 is an apocalyptic number.

160457631840 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 160457631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314792884224).

160457631840 is an abundant number, since it is smaller than the sum of its proper divisors (469128136608).

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

160457631840 is a wasteful number, since it uses less digits than its factorization.

160457631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

It can be divided in two parts, 160457 and 631840, that added together give a palindrome (792297).

The spelling of 160457631840 in words is "one hundred sixty billion, four hundred fifty-seven million, six hundred thirty-one thousand, eight hundred forty".