45269186760 has 384 divisors, whose sum is σ = 175567392000. Its totient is φ = 9897043968.

The previous prime is 45269186737. The next prime is 45269186771. The reversal of 45269186760 is 6768196254.

45269186760 is a `hidden beast` number, since 452 + 6 + 9 + 186 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45269186697 and 45269186706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7962879 + ... + 7968561.

It is an arithmetic number, because the mean of its divisors is an integer number (457206750).

Almost surely, 2^45269186760 is an apocalyptic number.

45269186760 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 45269186760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87783696000).

45269186760 is an abundant number, since it is smaller than the sum of its proper divisors (130298205240).

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

45269186760 is a wasteful number, since it uses less digits than its factorization.

45269186760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45269186760 in words is "forty-five billion, two hundred sixty-nine million, one hundred eighty-six thousand, seven hundred sixty".