46190097096000 has 1792 divisors, whose sum is σ = 182324237921280. Its totient is φ = 10217226240000.

The previous prime is 46190097095981. The next prime is 46190097096007. The reversal of 46190097096000 is 69079009164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46190097096007) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 56260775590 + ... + 56260776410.

It is an arithmetic number, because the mean of its divisors is an integer number (101743436340).

Almost surely, 2^{46190097096000} is an apocalyptic number.

46190097096000 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 46190097096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91162118960640).

46190097096000 is an abundant number, since it is smaller than the sum of its proper divisors (136134140825280).

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

46190097096000 is a wasteful number, since it uses less digits than its factorization.

46190097096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 46190097096000 in words is "forty-six trillion, one hundred ninety billion, ninety-seven million, ninety-six thousand".