46101988800 has 504 divisors, whose sum is σ = 187823624352. Its totient is φ = 10506240000.

The previous prime is 46101988783. The next prime is 46101988817. The reversal of 46101988800 is 888910164.

It is an interprime number because it is at equal distance from previous prime (46101988783) and next prime (46101988817).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60580420 + ... + 60581180.

Almost surely, 2^46101988800 is an apocalyptic number.

46101988800 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 46101988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93911812176).

46101988800 is an abundant number, since it is smaller than the sum of its proper divisors (141721635552).

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

46101988800 is a wasteful number, since it uses less digits than its factorization.

46101988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 46101988800 in words is "forty-six billion, one hundred one million, nine hundred eighty-eight thousand, eight hundred".