46007136000 has 576 divisors, whose sum is σ = 194073384960. Its totient is φ = 10514534400.

The previous prime is 46007135983. The next prime is 46007136017. The reversal of 46007136000 is 63170064.

46007136000 is a `hidden beast` number, since 46 + 0 + 0 + 7 + 13 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46007135983) and next prime (46007136017).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6044197 + ... + 6051803.

It is an arithmetic number, because the mean of its divisors is an integer number (336932960).

Almost surely, 2^46007136000 is an apocalyptic number.

46007136000 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 46007136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97036692480).

46007136000 is an abundant number, since it is smaller than the sum of its proper divisors (148066248960).

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

46007136000 is an equidigital number, since it uses as much as digits as its factorization.

46007136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7624 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 46007136000 in words is "forty-six billion, seven million, one hundred thirty-six thousand".