46014064313100 has 864 divisors, whose sum is σ = 149673074310144. Its totient is φ = 10903151001600.

The previous prime is 46014064313053. The next prime is 46014064313149. The reversal of 46014064313100 is 131346041064.

It is a super-2 number, since 2×46014064313100² (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 287 ways as a sum of consecutive naturals, for example, 77595386404 + ... + 77595386996.

It is an arithmetic number, because the mean of its divisors is an integer number (173232724896).

Almost surely, 2^{46014064313100} 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 46014064313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74836537155072).

46014064313100 is an abundant number, since it is smaller than the sum of its proper divisors (103659009997044).

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

46014064313100 is a wasteful number, since it uses less digits than its factorization.

46014064313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 46014064313100 in words is "forty-six trillion, fourteen billion, sixty-four million, three hundred thirteen thousand, one hundred".