611624100096 has 135 divisors (see below), whose sum is σ = 1824088264383. Its totient is φ = 203837160960.

The previous prime is 611624100091. The next prime is 611624100107. The reversal of 611624100096 is 690001426116.

The square root of 611624100096 is 782064.

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

611624100096 is a `hidden beast` number, since 6 + 11 + 624 + 10 + 0 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 611624100096.

It is not an unprimeable number, because it can be changed into a prime (611624100091) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 112614501 + ... + 112619931.

Almost surely, 2^611624100096 is an apocalyptic number.

611624100096 is the 782064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611624100096

611624100096 is an abundant number, since it is smaller than the sum of its proper divisors (1212464164287).

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

611624100096 is an frugal number, since it uses more digits than its factorization.

611624100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 611624100096 by its sum of digits (36), we get a square (22018467603456 = 4692384²).

611624100096 divided by its sum of digits (36) gives a square (16989558336 = 130344²).

The spelling of 611624100096 in words is "six hundred eleven billion, six hundred twenty-four million, one hundred thousand, ninety-six".