45669685776 has 160 divisors (see below), whose sum is σ = 144632742912. Its totient is φ = 12219271680.

The previous prime is 45669685771. The next prime is 45669685777. The reversal of 45669685776 is 67758696654.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 45669685776.

It is not an unprimeable number, because it can be changed into a prime (45669685771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13231 + ... + 302513.

Almost surely, 2^45669685776 is an apocalyptic number.

45669685776 is a gapful number since it is divisible by the number (46) 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 45669685776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316371456).

45669685776 is an abundant number, since it is smaller than the sum of its proper divisors (98963057136).

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

45669685776 is a wasteful number, since it uses less digits than its factorization.

45669685776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289341 (or 289335 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 69.

It can be divided in two parts, 45669 and 685776, that added together give a triangular number (731445 = T₁₂₀₉).

The spelling of 45669685776 in words is "forty-five billion, six hundred sixty-nine million, six hundred eighty-five thousand, seven hundred seventy-six".