46006754572900 has 144 divisors (see below), whose sum is σ = 110551166272512. Its totient is φ = 16477780176000.

The previous prime is 46006754572843. The next prime is 46006754572939. The reversal of 46006754572900 is 927545760064.

46006754572900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46006754572900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595973305 + ... + 596050495.

It is an arithmetic number, because the mean of its divisors is an integer number (767716432448).

Almost surely, 2^{46006754572900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46006754572900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275583136256).

46006754572900 is an abundant number, since it is smaller than the sum of its proper divisors (64544411699612).

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

46006754572900 is a wasteful number, since it uses less digits than its factorization.

46006754572900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85370 (or 85363 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 46006754572900 in words is "forty-six trillion, six billion, seven hundred fifty-four million, five hundred seventy-two thousand, nine hundred".