156575324416 has 81 divisors (see below), whose sum is σ = 363668741121. Its totient is φ = 67084717056.

The previous prime is 156575324341. The next prime is 156575324449. The reversal of 156575324416 is 614423575651.

The square root of 156575324416 is 395696.

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., 128049465600 + 28525858816 = 357840^2 + 168896^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 156575324416.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44316186 + ... + 44319718.

Almost surely, 2^156575324416 is an apocalyptic number.

156575324416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156575324416 is the 395696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156575324416

156575324416 is an abundant number, since it is smaller than the sum of its proper divisors (207093416705).

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

156575324416 is an frugal number, since it uses more digits than its factorization.

156575324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 3542 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 49.

Multiplying 156575324416 by its sum of digits (49), we get a square (7672190896384 = 2769872²).

156575324416 divided by its sum of digits (49) gives a square (3195414784 = 56528²).

The spelling of 156575324416 in words is "one hundred fifty-six billion, five hundred seventy-five million, three hundred twenty-four thousand, four hundred sixteen".