46358894400 has 672 divisors, whose sum is σ = 188455938048. Its totient is φ = 9715507200.

The previous prime is 46358894383. The next prime is 46358894411. The reversal of 46358894400 is 449885364.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92164549 + ... + 92165051.

It is an arithmetic number, because the mean of its divisors is an integer number (280440384).

Almost surely, 2^46358894400 is an apocalyptic number.

46358894400 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 46358894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94227969024).

46358894400 is an abundant number, since it is smaller than the sum of its proper divisors (142097043648).

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

46358894400 is a wasteful number, since it uses less digits than its factorization.

46358894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 46358894400 in words is "forty-six billion, three hundred fifty-eight million, eight hundred ninety-four thousand, four hundred".