20049156620064 has 288 divisors, whose sum is σ = 69143136910848. Its totient is φ = 5427247104000.

The previous prime is 20049156619901. The next prime is 20049156620071. The reversal of 20049156620064 is 46002665194002.

20049156620064 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 9 + 1 + 566 + 20 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20049156620064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6575217 + ... + 9128624.

It is an arithmetic number, because the mean of its divisors is an integer number (240080336496).

Almost surely, 2^{20049156620064} is an apocalyptic number.

20049156620064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20049156620064 is an abundant number, since it is smaller than the sum of its proper divisors (49093980290784).

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

20049156620064 is a wasteful number, since it uses less digits than its factorization.

20049156620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15703912 (or 15703901 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20049156620064 in words is "twenty trillion, forty-nine billion, one hundred fifty-six million, six hundred twenty thousand, sixty-four".