46547688674564 has 192 divisors, whose sum is σ = 109644511334400. Its totient is φ = 16746342412800.

The previous prime is 46547688674507. The next prime is 46547688674573.

46547688674564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46547688674564² (a number of 28 digits) contains 22 as substring.

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, 1978131479 + ... + 1978155009.

It is an arithmetic number, because the mean of its divisors is an integer number (571065163200).

Almost surely, 2^{46547688674564} is an apocalyptic number.

46547688674564 is a gapful number since it is divisible by the number (44) 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 46547688674564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54822255667200).

46547688674564 is an abundant number, since it is smaller than the sum of its proper divisors (63096822659836).

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

46547688674564 is a wasteful number, since it uses less digits than its factorization.

46547688674564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33234 (or 33232 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 80.

The spelling of 46547688674564 in words is "forty-six trillion, five hundred forty-seven billion, six hundred eighty-eight million, six hundred seventy-four thousand, five hundred sixty-four".