64496977062001 has 9 divisors (see below), whose sum is σ = 70893468583609. Its totient is φ = 58633535200900.

The previous prime is 64496977061987. The next prime is 64496977062107. The reversal of 64496977062001 is 10026077969446.

The square root of 64496977062001 is 8031001.

It is a perfect power (a square), and thus also a powerful number.

64496977062001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64496977062001 - 2¹⁷ = 64496976930929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64496977060001) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 87975966 + ... + 88706056.

Almost surely, 2^{64496977062001} is an apocalyptic number.

64496977062001 is the 8031001-st square number.

64496977062001 is the 4015501-st centered octagonal number.

It is an amenable number.

64496977062001 is a deficient number, since it is larger than the sum of its proper divisors (6396491521608).

64496977062001 is an frugal number, since it uses more digits than its factorization.

64496977062001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460204 (or 730102 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 64496977062001 in words is "sixty-four trillion, four hundred ninety-six billion, nine hundred seventy-seven million, sixty-two thousand, one".