45286253760 has 1008 divisors, whose sum is σ = 179212158720. Its totient is φ = 9650995200.

The previous prime is 45286253759. The next prime is 45286253767. The reversal of 45286253760 is 6735268254.

It is a super-2 number, since 2×45286253760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45286253767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 637834525 + ... + 637834595.

It is an arithmetic number, because the mean of its divisors is an integer number (177789840).

Almost surely, 2^45286253760 is an apocalyptic number.

45286253760 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 45286253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89606079360).

45286253760 is an abundant number, since it is smaller than the sum of its proper divisors (133925904960).

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

45286253760 is a wasteful number, since it uses less digits than its factorization.

45286253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 45286253760 in words is "forty-five billion, two hundred eighty-six million, two hundred fifty-three thousand, seven hundred sixty".