46578334400 has 168 divisors, whose sum is σ = 124024759824. Its totient is φ = 17115033600.

The previous prime is 46578334367. The next prime is 46578334423. The reversal of 46578334400 is 443387564.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4383494 + ... + 4394106.

It is an arithmetic number, because the mean of its divisors is an integer number (738242618).

Almost surely, 2^46578334400 is an apocalyptic number.

46578334400 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 46578334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62012379912).

46578334400 is an abundant number, since it is smaller than the sum of its proper divisors (77446425424).

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

46578334400 is a wasteful number, since it uses less digits than its factorization.

46578334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 46578334400 in words is "forty-six billion, five hundred seventy-eight million, three hundred thirty-four thousand, four hundred".