46140796800 has 1536 divisors, whose sum is σ = 209815142400. Its totient is φ = 9671270400.

The previous prime is 46140796783. The next prime is 46140796817. The reversal of 46140796800 is 869704164.

46140796800 is a `hidden beast` number, since 461 + 40 + 79 + 6 + 80 + 0 = 666.

46140796800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46140796783) and next prime (46140796817).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431222347 + ... + 431222453.

It is an arithmetic number, because the mean of its divisors is an integer number (136598400).

Almost surely, 2^46140796800 is an apocalyptic number.

46140796800 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 46140796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104907571200).

46140796800 is an abundant number, since it is smaller than the sum of its proper divisors (163674345600).

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

46140796800 is a wasteful number, since it uses less digits than its factorization.

46140796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 46140796800 in words is "forty-six billion, one hundred forty million, seven hundred ninety-six thousand, eight hundred".