46349971200 has 864 divisors, whose sum is σ = 187354675200. Its totient is φ = 11141038080.

The previous prime is 46349971189. The next prime is 46349971219. The reversal of 46349971200 is 217994364.

It is a happy number.

46349971200 is a `hidden beast` number, since 4 + 634 + 9 + 9 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 105580581 + ... + 105581019.

Almost surely, 2^46349971200 is an apocalyptic number.

46349971200 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 46349971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93677337600).

46349971200 is an abundant number, since it is smaller than the sum of its proper divisors (141004704000).

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

46349971200 is a wasteful number, since it uses less digits than its factorization.

46349971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46349971200 in words is "forty-six billion, three hundred forty-nine million, nine hundred seventy-one thousand, two hundred".