45682611480 has 576 divisors, whose sum is σ = 173790489600. Its totient is φ = 10318417920.

The previous prime is 45682611467. The next prime is 45682611547. The reversal of 45682611480 is 8411628654.

It is a happy number.

45682611480 is a `hidden beast` number, since 4 + 568 + 2 + 6 + 1 + 1 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204854649 + ... + 204854871.

It is an arithmetic number, because the mean of its divisors is an integer number (301719600).

Almost surely, 2^45682611480 is an apocalyptic number.

45682611480 is a gapful number since it is divisible by the number (40) 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 45682611480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86895244800).

45682611480 is an abundant number, since it is smaller than the sum of its proper divisors (128107878120).

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

45682611480 is a wasteful number, since it uses less digits than its factorization.

45682611480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 45682611480 in words is "forty-five billion, six hundred eighty-two million, six hundred eleven thousand, four hundred eighty".