45102367013760 has 768 divisors, whose sum is σ = 187644487680000. Its totient is φ = 9764280483840.

The previous prime is 45102367013749. The next prime is 45102367013779. The reversal of 45102367013760 is 6731076320154.

45102367013760 is a `hidden beast` number, since 4 + 510 + 2 + 3 + 6 + 70 + 1 + 3 + 7 + 60 = 666.

45102367013760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45102367013760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 58362366 + ... + 59130114.

It is an arithmetic number, because the mean of its divisors is an integer number (244328760000).

Almost surely, 2^{45102367013760} is an apocalyptic number.

45102367013760 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 45102367013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93822243840000).

45102367013760 is an abundant number, since it is smaller than the sum of its proper divisors (142542120666240).

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

45102367013760 is a wasteful number, since it uses less digits than its factorization.

45102367013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767859 (or 767844 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45102367013760 in words is "forty-five trillion, one hundred two billion, three hundred sixty-seven million, thirteen thousand, seven hundred sixty".