46325132671400 has 192 divisors, whose sum is σ = 124417445791680. Its totient is φ = 15853513625600.

The previous prime is 46325132671399. The next prime is 46325132671427. The reversal of 46325132671400 is 417623152364.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711053627 + ... + 711118773.

It is an arithmetic number, because the mean of its divisors is an integer number (648007530165).

Almost surely, 2^{46325132671400} is an apocalyptic number.

46325132671400 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 46325132671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208722895840).

46325132671400 is an abundant number, since it is smaller than the sum of its proper divisors (78092313120280).

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

46325132671400 is a wasteful number, since it uses less digits than its factorization.

46325132671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84204 (or 84195 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 46325132671400 in words is "forty-six trillion, three hundred twenty-five billion, one hundred thirty-two million, six hundred seventy-one thousand, four hundred".