157977249048 has 192 divisors, whose sum is σ = 452017631520. Its totient is φ = 51676185600.

The previous prime is 157977249047. The next prime is 157977249049. The reversal of 157977249048 is 840942779751.

157977249048 is a `hidden beast` number, since 1 + 5 + 79 + 7 + 72 + 490 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (157977249047) and next prime (157977249049).

It is a super-2 number, since 2×157977249048² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157977249047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61780986 + ... + 61783542.

Almost surely, 2^157977249048 is an apocalyptic number.

157977249048 is a gapful number since it is divisible by the number (18) 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 157977249048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226008815760).

157977249048 is an abundant number, since it is smaller than the sum of its proper divisors (294040382472).

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

157977249048 is a wasteful number, since it uses less digits than its factorization.

157977249048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 157977249048 in words is "one hundred fifty-seven billion, nine hundred seventy-seven million, two hundred forty-nine thousand, forty-eight".