45235285312000 has 1920 divisors, whose sum is σ = 145367274184704. Its totient is φ = 13934592000000.

The previous prime is 45235285311989. The next prime is 45235285312043. The reversal of 45235285312000 is 21358253254.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166919871865 + ... + 166919872135.

Almost surely, 2^{45235285312000} is an apocalyptic number.

45235285312000 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 45235285312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72683637092352).

45235285312000 is an abundant number, since it is smaller than the sum of its proper divisors (100131988872704).

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

45235285312000 is a wasteful number, since it uses less digits than its factorization.

45235285312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 45235285312000 in words is "forty-five trillion, two hundred thirty-five billion, two hundred eighty-five million, three hundred twelve thousand".