45468525312000 has 4608 divisors, whose sum is σ = 212359099680000. Its totient is φ = 9532499558400.

The previous prime is 45468525311933. The next prime is 45468525312047. The reversal of 45468525312000 is 21352586454.

45468525312000 is a `hidden beast` number, since 4 + 5 + 4 + 68 + 52 + 531 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 305157887926 + ... + 305157888074.

Almost surely, 2^{45468525312000} is an apocalyptic number.

45468525312000 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 45468525312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106179549840000).

45468525312000 is an abundant number, since it is smaller than the sum of its proper divisors (166890574368000).

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

45468525312000 is a wasteful number, since it uses less digits than its factorization.

45468525312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 45468525312000 its reverse (21352586454), we get a palindrome (45489877898454).

The spelling of 45468525312000 in words is "forty-five trillion, four hundred sixty-eight billion, five hundred twenty-five million, three hundred twelve thousand".