45494779120 has 320 divisors, whose sum is σ = 129134592000. Its totient is φ = 14881950720.

The previous prime is 45494779103. The next prime is 45494779147. The reversal of 45494779120 is 2197749454.

It is a happy number.

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, 67200222 + ... + 67200898.

It is an arithmetic number, because the mean of its divisors is an integer number (403545600).

Almost surely, 2^45494779120 is an apocalyptic number.

45494779120 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 45494779120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64567296000).

45494779120 is an abundant number, since it is smaller than the sum of its proper divisors (83639812880).

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

45494779120 is a wasteful number, since it uses less digits than its factorization.

45494779120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 45494779120 in words is "forty-five billion, four hundred ninety-four million, seven hundred seventy-nine thousand, one hundred twenty".