45437769072 has 240 divisors, whose sum is σ = 135805557888. Its totient is φ = 14698817280.

The previous prime is 45437769049. The next prime is 45437769079. The reversal of 45437769072 is 27096773454.

45437769072 is a `hidden beast` number, since 4 + 543 + 7 + 7 + 6 + 90 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45437769079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28922047 + ... + 28923617.

Almost surely, 2^45437769072 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 45437769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67902778944).

45437769072 is an abundant number, since it is smaller than the sum of its proper divisors (90367788816).

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

45437769072 is a wasteful number, since it uses less digits than its factorization.

45437769072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 45437769072 in words is "forty-five billion, four hundred thirty-seven million, seven hundred sixty-nine thousand, seventy-two".