61658451961344 has 2880 divisors, whose sum is σ = 238293390246912. Its totient is φ = 14967609753600.

The previous prime is 61658451961343. The next prime is 61658451961357. The reversal of 61658451961344 is 44316915485616.

61658451961344 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 8 + 4 + 5 + 1 + 9 + 613 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61658451961343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 576247214539 + ... + 576247214645.

Almost surely, 2^{61658451961344} is an apocalyptic number.

61658451961344 is a gapful number since it is divisible by the number (64) 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 61658451961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119146695123456).

61658451961344 is an abundant number, since it is smaller than the sum of its proper divisors (176634938285568).

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

61658451961344 is a wasteful number, since it uses less digits than its factorization.

61658451961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 267 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 61658451961344 in words is "sixty-one trillion, six hundred fifty-eight billion, four hundred fifty-one million, nine hundred sixty-one thousand, three hundred forty-four".