46133350848000 has 1920 divisors, whose sum is σ = 189734019995520. Its totient is φ = 10984439808000.

The previous prime is 46133350847989. The next prime is 46133350848023. The reversal of 46133350848000 is 84805333164.

46133350848000 is a `hidden beast` number, since 4 + 6 + 133 + 3 + 508 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 21587902932 + ... + 21587905068.

It is an arithmetic number, because the mean of its divisors is an integer number (98819802081).

Almost surely, 2^{46133350848000} is an apocalyptic number.

46133350848000 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 46133350848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94867009997760).

46133350848000 is an abundant number, since it is smaller than the sum of its proper divisors (143600669147520).

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

46133350848000 is a wasteful number, since it uses less digits than its factorization.

46133350848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46133350848000 in words is "forty-six trillion, one hundred thirty-three billion, three hundred fifty million, eight hundred forty-eight thousand".