157245881811984 has 1485 divisors, whose sum is σ = 566899891319997. Its totient is φ = 42124003375104.

The previous prime is 157245881811973. The next prime is 157245881812043. The reversal of 157245881811984 is 489118188542751.

The square root of 157245881811984 is 12539772.

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

157245881811984 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 458 + 8 + 1 + 81 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70609400643600 + 86636481168384 = 8402940^2 + 9307872^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (206438400) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 1621091565024 + ... + 1621091565120.

Almost surely, 2^{157245881811984} is an apocalyptic number.

157245881811984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

157245881811984 is the 12539772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157245881811984

157245881811984 is an abundant number, since it is smaller than the sum of its proper divisors (409654009508013).

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

157245881811984 is an frugal number, since it uses more digits than its factorization.

157245881811984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 128 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 72.

The spelling of 157245881811984 in words is "one hundred fifty-seven trillion, two hundred forty-five billion, eight hundred eighty-one million, eight hundred eleven thousand, nine hundred eighty-four".