61654362812424 has 192 divisors, whose sum is σ = 173452242862080. Its totient is φ = 19763361072000.

The previous prime is 61654362812423. The next prime is 61654362812477. The reversal of 61654362812424 is 42421826345616.

61654362812424 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 4 + 3 + 628 + 1 + 2 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×61654362812424² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61654362812423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308680629 + ... + 1308727739.

It is an arithmetic number, because the mean of its divisors is an integer number (903397098240).

Almost surely, 2^{61654362812424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61654362812424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86726121431040).

61654362812424 is an abundant number, since it is smaller than the sum of its proper divisors (111797880049656).

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

61654362812424 is a wasteful number, since it uses less digits than its factorization.

61654362812424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50832 (or 50825 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 61654362812424 in words is "sixty-one trillion, six hundred fifty-four billion, three hundred sixty-two million, eight hundred twelve thousand, four hundred twenty-four".