142657607172096 has 377 divisors, whose sum is σ = 427972552283671. Its totient is φ = 47552535724032.

The previous prime is 142657607172077. The next prime is 142657607172097. The reversal of 142657607172096 is 690271706756241.

The square root of 142657607172096 is 11943936.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁸ ⋅ (3!)⁴.

142657607172096 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 5 + 7 + 607 + 17 + 2 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×142657607172096² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142657607172097) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 47552535724031 + 47552535724032 + 47552535724033.

Almost surely, 2^{142657607172096} is an apocalyptic number.

142657607172096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142657607172096 is the 11943936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142657607172096

142657607172096 is an abundant number, since it is smaller than the sum of its proper divisors (285314945111575).

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

142657607172096 is an frugal number, since it uses more digits than its factorization.

142657607172096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 142657607172096 in words is "one hundred forty-two trillion, six hundred fifty-seven billion, six hundred seven million, one hundred seventy-two thousand, ninety-six".