46125094579200 has 6336 divisors, whose sum is σ = 232831347840000. Its totient is φ = 8614922158080.

The previous prime is 46125094579163. The next prime is 46125094579241. The reversal of 46125094579200 is 297549052164.

It is a happy number.

46125094579200 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 509 + 45 + 7 + 92 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 331835212731 + ... + 331835212869.

Almost surely, 2^{46125094579200} is an apocalyptic number.

46125094579200 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 46125094579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116415673920000).

46125094579200 is an abundant number, since it is smaller than the sum of its proper divisors (186706253260800).

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

46125094579200 is a wasteful number, since it uses less digits than its factorization.

46125094579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 46125094579200 in words is "forty-six trillion, one hundred twenty-five billion, ninety-four million, five hundred seventy-nine thousand, two hundred".