46993195200 has 1344 divisors, whose sum is σ = 201372825600. Its totient is φ = 9537454080.

The previous prime is 46993195153. The next prime is 46993195237. The reversal of 46993195200 is 259139964.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×46993195200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46993195200.

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, 643742364 + ... + 643742436.

Almost surely, 2^46993195200 is an apocalyptic number.

46993195200 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 46993195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100686412800).

46993195200 is an abundant number, since it is smaller than the sum of its proper divisors (154379630400).

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

46993195200 is a wasteful number, since it uses less digits than its factorization.

46993195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 46993195200 in words is "forty-six billion, nine hundred ninety-three million, one hundred ninety-five thousand, two hundred".