46047268800 has 840 divisors, whose sum is σ = 184498906592. Its totient is φ = 11197440000.

The previous prime is 46047268789. The next prime is 46047268819. The reversal of 46047268800 is 886274064.

46047268800 is a `hidden beast` number, since 46 + 0 + 472 + 68 + 80 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 254404710 + ... + 254404890.

Almost surely, 2^46047268800 is an apocalyptic number.

46047268800 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 46047268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92249453296).

46047268800 is an abundant number, since it is smaller than the sum of its proper divisors (138451637792).

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

46047268800 is a wasteful number, since it uses less digits than its factorization.

46047268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 46047268800 in words is "forty-six billion, forty-seven million, two hundred sixty-eight thousand, eight hundred".