156215936448 has 672 divisors, whose sum is σ = 574395843840. Its totient is φ = 41385738240.

The previous prime is 156215936377. The next prime is 156215936489. The reversal of 156215936448 is 844639512651.

156215936448 is a `hidden beast` number, since 1 + 5 + 6 + 2 + 1 + 593 + 6 + 4 + 48 = 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 = 156215936394 and 156215936403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42252936 + ... + 42256632.

It is an arithmetic number, because the mean of its divisors is an integer number (854755720).

Almost surely, 2^156215936448 is an apocalyptic number.

156215936448 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 156215936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287197921920).

156215936448 is an abundant number, since it is smaller than the sum of its proper divisors (418179907392).

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

156215936448 is a wasteful number, since it uses less digits than its factorization.

156215936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3745 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 156215936448 in words is "one hundred fifty-six billion, two hundred fifteen million, nine hundred thirty-six thousand, four hundred forty-eight".