46581039420360 has 512 divisors, whose sum is σ = 145209335040000. Its totient is φ = 11946654720000.

The previous prime is 46581039420353. The next prime is 46581039420371. The reversal of 46581039420360 is 6302493018564.

It is a super-2 number, since 2×46581039420360² (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 127 ways as a sum of consecutive naturals, for example, 54227053611 + ... + 54227054469.

It is an arithmetic number, because the mean of its divisors is an integer number (283611982500).

Almost surely, 2^{46581039420360} is an apocalyptic number.

46581039420360 is a gapful number since it is divisible by the number (40) 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 46581039420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72604667520000).

46581039420360 is an abundant number, since it is smaller than the sum of its proper divisors (98628295619640).

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

46581039420360 is a wasteful number, since it uses less digits than its factorization.

46581039420360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 46581039420360 in words is "forty-six trillion, five hundred eighty-one billion, thirty-nine million, four hundred twenty thousand, three hundred sixty".