45483917904 has 320 divisors, whose sum is σ = 144247910400. Its totient is φ = 13657932288.

The previous prime is 45483917863. The next prime is 45483917933. The reversal of 45483917904 is 40971938454.

45483917904 is a `hidden beast` number, since 4 + 5 + 483 + 91 + 79 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37189837 + ... + 37191059.

It is an arithmetic number, because the mean of its divisors is an integer number (450774720).

Almost surely, 2^45483917904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45483917904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72123955200).

45483917904 is an abundant number, since it is smaller than the sum of its proper divisors (98763992496).

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

45483917904 is a wasteful number, since it uses less digits than its factorization.

45483917904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45483917904 in words is "forty-five billion, four hundred eighty-three million, nine hundred seventeen thousand, nine hundred four".