46358362960 has 720 divisors, whose sum is σ = 149004748800. Its totient is φ = 13314502656.

The previous prime is 46358362949. The next prime is 46358362991. The reversal of 46358362960 is 6926385364.

46358362960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 46358362898 and 46358362907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365026417 + ... + 365026543.

It is an arithmetic number, because the mean of its divisors is an integer number (206951040).

Almost surely, 2^46358362960 is an apocalyptic number.

46358362960 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 46358362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74502374400).

46358362960 is an abundant number, since it is smaller than the sum of its proper divisors (102646385840).

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

46358362960 is a wasteful number, since it uses less digits than its factorization.

46358362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 46358362960 in words is "forty-six billion, three hundred fifty-eight million, three hundred sixty-two thousand, nine hundred sixty".