157641713416 has 64 divisors (see below), whose sum is σ = 329503749120. Its totient is φ = 70104371520.

The previous prime is 157641713381. The next prime is 157641713521. The reversal of 157641713416 is 614317146751.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647541 + ... + 857083.

It is an arithmetic number, because the mean of its divisors is an integer number (5148496080).

Almost surely, 2^157641713416 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 157641713416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164751874560).

157641713416 is an abundant number, since it is smaller than the sum of its proper divisors (171862035704).

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

157641713416 is a wasteful number, since it uses less digits than its factorization.

157641713416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209746 (or 209742 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The spelling of 157641713416 in words is "one hundred fifty-seven billion, six hundred forty-one million, seven hundred thirteen thousand, four hundred sixteen".