661463166144 has 112 divisors (see below), whose sum is σ = 1911245083776. Its totient is φ = 200231116800.

The previous prime is 661463166137. The next prime is 661463166173. The reversal of 661463166144 is 441661364166.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 661463166093 and 661463166102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834704 + ... + 2165424.

It is an arithmetic number, because the mean of its divisors is an integer number (17064688248).

Almost surely, 2^661463166144 is an apocalyptic number.

661463166144 is a gapful number since it is divisible by the number (64) 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 661463166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955622541888).

661463166144 is an abundant number, since it is smaller than the sum of its proper divisors (1249781917632).

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

661463166144 is a wasteful number, since it uses less digits than its factorization.

661463166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331694 (or 331684 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 661463166144 in words is "six hundred sixty-one billion, four hundred sixty-three million, one hundred sixty-six thousand, one hundred forty-four".