45460049112 has 288 divisors, whose sum is σ = 135618649920. Its totient is φ = 13743267840.

The previous prime is 45460049081. The next prime is 45460049119. The reversal of 45460049112 is 21194006454.

45460049112 is a `hidden beast` number, since 4 + 5 + 4 + 600 + 49 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45460049119) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105475537 + ... + 105475967.

It is an arithmetic number, because the mean of its divisors is an integer number (470898090).

Almost surely, 2^45460049112 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 45460049112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67809324960).

45460049112 is an abundant number, since it is smaller than the sum of its proper divisors (90158600808).

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

45460049112 is a wasteful number, since it uses less digits than its factorization.

45460049112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45460049112 in words is "forty-five billion, four hundred sixty million, forty-nine thousand, one hundred twelve".