1451956957077 has 32 divisors (see below), whose sum is σ = 2199566444544. Its totient is φ = 844131758400.

The previous prime is 1451956957069. The next prime is 1451956957103. The reversal of 1451956957077 is 7707596591541.

It is not a de Polignac number, because 1451956957077 - 2³ = 1451956957069 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1451956956999 and 1451956957017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451956967077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287633 + ... + 8461014.

It is an arithmetic number, because the mean of its divisors is an integer number (68736451392).

Almost surely, 2^{1451956957077} is an apocalyptic number.

It is an amenable number.

1451956957077 is a deficient number, since it is larger than the sum of its proper divisors (747609487467).

1451956957077 is a wasteful number, since it uses less digits than its factorization.

1451956957077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16748769.

The product of its (nonzero) digits is 83349000, while the sum is 66.

The spelling of 1451956957077 in words is "one trillion, four hundred fifty-one billion, nine hundred fifty-six million, nine hundred fifty-seven thousand, seventy-seven".