45385629696 has 300 divisors, whose sum is σ = 147966597240. Its totient is φ = 13748797440.

The previous prime is 45385629689. The next prime is 45385629721. The reversal of 45385629696 is 69692658354.

45385629696 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 562 + 9 + 69 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14596590 + ... + 14599698.

Almost surely, 2^45385629696 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 45385629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73983298620).

45385629696 is an abundant number, since it is smaller than the sum of its proper divisors (102580967544).

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

45385629696 is an equidigital number, since it uses as much as digits as its factorization.

45385629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3125 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 45385629696 in words is "forty-five billion, three hundred eighty-five million, six hundred twenty-nine thousand, six hundred ninety-six".