45862359169536 has 2880 divisors, whose sum is σ = 182733366816000. Its totient is φ = 11408919330816.

The previous prime is 45862359169519. The next prime is 45862359169537. The reversal of 45862359169536 is 63596195326854.

45862359169536 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 23 + 5 + 9 + 1 + 69 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45862359169537) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 200272310670 + ... + 200272310898.

It is an arithmetic number, because the mean of its divisors is an integer number (63449085700).

Almost surely, 2^{45862359169536} 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 45862359169536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91366683408000).

45862359169536 is an abundant number, since it is smaller than the sum of its proper divisors (136871007646464).

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

45862359169536 is an equidigital number, since it uses as much as digits as its factorization.

45862359169536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 273 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 45862359169536 in words is "forty-five trillion, eight hundred sixty-two billion, three hundred fifty-nine million, one hundred sixty-nine thousand, five hundred thirty-six".