157444641648 has 720 divisors, whose sum is σ = 560160147456. Its totient is φ = 42626787840.

The previous prime is 157444641647. The next prime is 157444641667. The reversal of 157444641648 is 846146444751.

157444641648 is a `hidden beast` number, since 1 + 574 + 4 + 4 + 6 + 4 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 157444641594 and 157444641603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157444641647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313010965 + ... + 313011467.

Almost surely, 2^157444641648 is an apocalyptic number.

157444641648 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 157444641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280080073728).

157444641648 is an abundant number, since it is smaller than the sum of its proper divisors (402715505808).

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

157444641648 is a wasteful number, since it uses less digits than its factorization.

157444641648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 157444641648 in words is "one hundred fifty-seven billion, four hundred forty-four million, six hundred forty-one thousand, six hundred forty-eight".