157463895456 has 768 divisors, whose sum is σ = 560867328000. Its totient is φ = 42045972480.

The previous prime is 157463895431. The next prime is 157463895467. The reversal of 157463895456 is 654598364751.

It is a happy number.

157463895456 is a `hidden beast` number, since 1 + 5 + 7 + 4 + 6 + 3 + 89 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 157463895393 and 157463895402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 687615150 + ... + 687615378.

It is an arithmetic number, because the mean of its divisors is an integer number (730296000).

Almost surely, 2^157463895456 is an apocalyptic number.

157463895456 is a gapful number since it is divisible by the number (16) 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 157463895456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280433664000).

157463895456 is an abundant number, since it is smaller than the sum of its proper divisors (403403432544).

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

157463895456 is a wasteful number, since it uses less digits than its factorization.

157463895456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 157463895456 in words is "one hundred fifty-seven billion, four hundred sixty-three million, eight hundred ninety-five thousand, four hundred fifty-six".