61917364224 has 231 divisors, whose sum is σ = 185750955523. Its totient is φ = 20639121408.

The previous prime is 61917364219. The next prime is 61917364273. The reversal of 61917364224 is 42246371916.

The square root of 61917364224 is 248832.

It is a perfect power (a square, a 5-th power, a 10-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁵ ⋅ (3!)⁵.

61917364224 is a `hidden beast` number, since 6 + 191 + 7 + 36 + 422 + 4 = 666.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 61917364224.

It is an unprimeable number.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 20639121407 + 20639121408 + 20639121409.

Almost surely, 2^61917364224 is an apocalyptic number.

61917364224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61917364224 is the 248832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61917364224

61917364224 is an abundant number, since it is smaller than the sum of its proper divisors (123833591299).

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

61917364224 is an frugal number, since it uses more digits than its factorization.

61917364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 5 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 61917364224 in words is "sixty-one billion, nine hundred seventeen million, three hundred sixty-four thousand, two hundred twenty-four".