46985016146400 has 1152 divisors, whose sum is σ = 181689506127360. Its totient is φ = 11677227909120.

The previous prime is 46985016146317. The next prime is 46985016146413. The reversal of 46985016146400 is 464161058964.

46985016146400 is a `hidden beast` number, since 4 + 6 + 9 + 85 + 0 + 16 + 146 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18375053922 + ... + 18375056478.

It is an arithmetic number, because the mean of its divisors is an integer number (157716585180).

Almost surely, 2^{46985016146400} is an apocalyptic number.

46985016146400 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 46985016146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90844753063680).

46985016146400 is an abundant number, since it is smaller than the sum of its proper divisors (134704489980960).

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

46985016146400 is a wasteful number, since it uses less digits than its factorization.

46985016146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 46985016146400 in words is "forty-six trillion, nine hundred eighty-five billion, sixteen million, one hundred forty-six thousand, four hundred".