153971481664 has 441 divisors, whose sum is σ = 424268661621. Its totient is φ = 55374359040.

The previous prime is 153971481641. The next prime is 153971481707. The reversal of 153971481664 is 466184179351.

The square root of 153971481664 is 392392.

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

It can be written as a sum of positive squares in only one way, i.e., 22776846400 + 131194635264 = 150920^2 + 362208^2 .

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 11843960122 + ... + 11843960134.

Almost surely, 2^153971481664 is an apocalyptic number.

153971481664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153971481664 is the 392392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153971481664

153971481664 is an abundant number, since it is smaller than the sum of its proper divisors (270297179957).

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

153971481664 is an frugal number, since it uses more digits than its factorization.

153971481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 33 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 153971481664 in words is "one hundred fifty-three billion, nine hundred seventy-one million, four hundred eighty-one thousand, six hundred sixty-four".