45788863140000 has 480 divisors, whose sum is σ = 170955595198080. Its totient is φ = 11912544000000.

The previous prime is 45788863139993. The next prime is 45788863140079. The reversal of 45788863140000 is 4136888754.

45788863140000 is a `hidden beast` number, since 4 + 57 + 88 + 86 + 31 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21105925 + ... + 23174075.

It is an arithmetic number, because the mean of its divisors is an integer number (356157489996).

Almost surely, 2^{45788863140000} is an apocalyptic number.

45788863140000 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 45788863140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85477797599040).

45788863140000 is an abundant number, since it is smaller than the sum of its proper divisors (125166732058080).

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

45788863140000 is a wasteful number, since it uses less digits than its factorization.

45788863140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068231 (or 2068202 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 45788863140000 in words is "forty-five trillion, seven hundred eighty-eight billion, eight hundred sixty-three million, one hundred forty thousand".