45908776000 has 112 divisors (see below), whose sum is σ = 113795690112. Its totient is φ = 18346944000.

The previous prime is 45908775977. The next prime is 45908776003. The reversal of 45908776000 is 67780954.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45908776003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12854215 + ... + 12857785.

Almost surely, 2^45908776000 is an apocalyptic number.

45908776000 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 45908776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56897845056).

45908776000 is an abundant number, since it is smaller than the sum of its proper divisors (67886914112).

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

45908776000 is a wasteful number, since it uses less digits than its factorization.

45908776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 45908776000 in words is "forty-five billion, nine hundred eight million, seven hundred seventy-six thousand".