461513457552 has 80 divisors (see below), whose sum is σ = 1364408069120. Its totient is φ = 131682485376.

The previous prime is 461513457551. The next prime is 461513457593. The reversal of 461513457552 is 255754315164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (461513457551) 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, 681028 + ... + 1177635.

It is an arithmetic number, because the mean of its divisors is an integer number (17055100864).

Almost surely, 2^461513457552 is an apocalyptic number.

461513457552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

461513457552 is an abundant number, since it is smaller than the sum of its proper divisors (902894611568).

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

461513457552 is a wasteful number, since it uses less digits than its factorization.

461513457552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859420 (or 1859414 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The spelling of 461513457552 in words is "four hundred sixty-one billion, five hundred thirteen million, four hundred fifty-seven thousand, five hundred fifty-two".