157630371444 has 216 divisors, whose sum is σ = 502523821800. Its totient is φ = 41292937728.

The previous prime is 157630371443. The next prime is 157630371491. The reversal of 157630371444 is 444173036751.

157630371444 is a `hidden beast` number, since 1 + 5 + 7 + 630 + 3 + 7 + 1 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100761444 + 157529610000 = 10038^2 + 396900^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 157630371444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157630371443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3393802 + ... + 3439934.

It is an arithmetic number, because the mean of its divisors is an integer number (2326499175).

Almost surely, 2^157630371444 is an apocalyptic number.

157630371444 is a gapful number since it is divisible by the number (14) 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 157630371444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251261910900).

157630371444 is an abundant number, since it is smaller than the sum of its proper divisors (344893450356).

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

157630371444 is a wasteful number, since it uses less digits than its factorization.

157630371444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46319 (or 46307 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 157630371444 in words is "one hundred fifty-seven billion, six hundred thirty million, three hundred seventy-one thousand, four hundred forty-four".