462725585527264 has 48 divisors (see below), whose sum is σ = 920033498439216. Its totient is φ = 229066397824000.

The previous prime is 462725585527259. The next prime is 462725585527277.

462725585527264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462725585527264² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 462725585527193 and 462725585527202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130245339 + ... + 133750885.

It is an arithmetic number, because the mean of its divisors is an integer number (19167364550817).

Almost surely, 2^{462725585527264} is an apocalyptic number.

It is an amenable number.

462725585527264 is a deficient number, since it is larger than the sum of its proper divisors (457307912911952).

462725585527264 is a wasteful number, since it uses less digits than its factorization.

462725585527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546499 (or 3546491 counting only the distinct ones).

The product of its digits is 2257920000, while the sum is 70.

The spelling of 462725585527264 in words is "four hundred sixty-two trillion, seven hundred twenty-five billion, five hundred eighty-five million, five hundred twenty-seven thousand, two hundred sixty-four".