61623151488 has 512 divisors, whose sum is σ = 203787187200. Its totient is φ = 18459353088.

The previous prime is 61623151427. The next prime is 61623151517. The reversal of 61623151488 is 88415132616.

61623151488 is a `hidden beast` number, since 6 + 1 + 623 + 1 + 5 + 14 + 8 + 8 = 666.

It is a super-2 number, since 2×61623151488² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109454695 + ... + 109455257.

It is an arithmetic number, because the mean of its divisors is an integer number (398021850).

Almost surely, 2^61623151488 is an apocalyptic number.

61623151488 is a gapful number since it is divisible by the number (68) 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 61623151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101893593600).

61623151488 is an abundant number, since it is smaller than the sum of its proper divisors (142164035712).

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

61623151488 is an equidigital number, since it uses as much as digits as its factorization.

61623151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 608 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 61623151488 in words is "sixty-one billion, six hundred twenty-three million, one hundred fifty-one thousand, four hundred eighty-eight".