462461274310464 has 896 divisors, whose sum is σ = 1616442670080000. Its totient is φ = 127806385766400.

The previous prime is 462461274310459. The next prime is 462461274310493. The reversal of 462461274310464 is 464013472164264.

462461274310464 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 6 + 127 + 43 + 10 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 462461274310464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30767158629 + ... + 30767173659.

It is an arithmetic number, because the mean of its divisors is an integer number (1804065480000).

Almost surely, 2^{462461274310464} is an apocalyptic number.

462461274310464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462461274310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808221335040000).

462461274310464 is an abundant number, since it is smaller than the sum of its proper divisors (1153981395769536).

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

462461274310464 is a wasteful number, since it uses less digits than its factorization.

462461274310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16564 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 462461274310464 in words is "four hundred sixty-two trillion, four hundred sixty-one billion, two hundred seventy-four million, three hundred ten thousand, four hundred sixty-four".