20346334272000 has 800 divisors, whose sum is σ = 82679256563904. Its totient is φ = 4932430848000.

The previous prime is 20346334271999. The next prime is 20346334272023. The reversal of 20346334272000 is 27243364302.

20346334272000 is a `hidden beast` number, since 20 + 3 + 4 + 6 + 3 + 3 + 427 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56845599 + ... + 57202401.

Almost surely, 2^{20346334272000} is an apocalyptic number.

20346334272000 is a gapful number since it is divisible by the number (20) 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 20346334272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41339628281952).

20346334272000 is an abundant number, since it is smaller than the sum of its proper divisors (62332922291904).

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

20346334272000 is an equidigital number, since it uses as much as digits as its factorization.

20346334272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356859 (or 356824 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 20346334272000 in words is "twenty trillion, three hundred forty-six billion, three hundred thirty-four million, two hundred seventy-two thousand".