46894042800 has 720 divisors, whose sum is σ = 187383006720. Its totient is φ = 11166336000.

The previous prime is 46894042787. The next prime is 46894042813. The reversal of 46894042800 is 824049864.

46894042800 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 (46894042787) and next prime (46894042813).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65220841 + ... + 65221559.

It is an arithmetic number, because the mean of its divisors is an integer number (260254176).

Almost surely, 2^46894042800 is an apocalyptic number.

46894042800 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 46894042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93691503360).

46894042800 is an abundant number, since it is smaller than the sum of its proper divisors (140488963920).

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

46894042800 is a wasteful number, since it uses less digits than its factorization.

46894042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 46894042800 in words is "forty-six billion, eight hundred ninety-four million, forty-two thousand, eight hundred".