465146070400188 has 192 divisors, whose sum is σ = 1278131087923200. Its totient is φ = 146072110786560.

The previous prime is 465146070400111. The next prime is 465146070400301. The reversal of 465146070400188 is 881004070641564.

465146070400188 is a `hidden beast` number, since 4 + 6 + 5 + 14 + 607 + 0 + 4 + 0 + 0 + 18 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10787881 + ... + 32352287.

It is an arithmetic number, because the mean of its divisors is an integer number (6656932749600).

Almost surely, 2^{465146070400188} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465146070400188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639065543961600).

465146070400188 is an abundant number, since it is smaller than the sum of its proper divisors (812985017523012).

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

465146070400188 is a wasteful number, since it uses less digits than its factorization.

465146070400188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21564617 (or 21564609 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 465146070400188 in words is "four hundred sixty-five trillion, one hundred forty-six billion, seventy million, four hundred thousand, one hundred eighty-eight".