1014621164064 has 96 divisors (see below), whose sum is σ = 2959517232000. Its totient is φ = 338183569152.

The previous prime is 1014621164059. The next prime is 1014621164077. The reversal of 1014621164064 is 4604611264101.

1014621164064 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 2 + 1 + 1 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1014621164064² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 16107222 + ... + 16170090.

It is an arithmetic number, because the mean of its divisors is an integer number (30828304500).

Almost surely, 2^{1014621164064} is an apocalyptic number.

It is an amenable number.

1014621164064 is an abundant number, since it is smaller than the sum of its proper divisors (1944896067936).

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

1014621164064 is a wasteful number, since it uses less digits than its factorization.

1014621164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81567 (or 81553 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1014621164064 in words is "one trillion, fourteen billion, six hundred twenty-one million, one hundred sixty-four thousand, sixty-four".