945257136378464 has 96 divisors (see below), whose sum is σ = 2296671711860736. Its totient is φ = 372928946158080.

The previous prime is 945257136378461. The next prime is 945257136378523. The reversal of 945257136378464 is 464873631752549.

It is a super-2 number, since 2×945257136378464² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 945257136378391 and 945257136378400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945257136378461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441175892 + ... + 443313299.

It is an arithmetic number, because the mean of its divisors is an integer number (23923663665216).

Almost surely, 2^{945257136378464} is an apocalyptic number.

It is an amenable number.

945257136378464 is an abundant number, since it is smaller than the sum of its proper divisors (1351414575482272).

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

945257136378464 is a wasteful number, since it uses less digits than its factorization.

945257136378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884489588 (or 884489580 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 74.

The spelling of 945257136378464 in words is "nine hundred forty-five trillion, two hundred fifty-seven billion, one hundred thirty-six million, three hundred seventy-eight thousand, four hundred sixty-four".