153677278328896 has 567 divisors, whose sum is σ = 382636444225581. Its totient is φ = 61051090867200.

The previous prime is 153677278328881. The next prime is 153677278328939. The reversal of 153677278328896 is 698823872776351.

The square root of 153677278328896 is 12396664.

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., 4997299295296 + 148679979033600 = 2235464^2 + 12193440^2 .

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

Its product of digits (10241925120) is a multiple of the sum of its prime divisors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 804593080161 + ... + 804593080351.

Almost surely, 2^{153677278328896} is an apocalyptic number.

153677278328896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153677278328896 is the 12396664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153677278328896

153677278328896 is an abundant number, since it is smaller than the sum of its proper divisors (228959165896685).

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

153677278328896 is an frugal number, since it uses more digits than its factorization.

153677278328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 280 counting only the distinct ones).

The product of its digits is 10241925120, while the sum is 82.

The spelling of 153677278328896 in words is "one hundred fifty-three trillion, six hundred seventy-seven billion, two hundred seventy-eight million, three hundred twenty-eight thousand, eight hundred ninety-six".