84245452945920 has 3200 divisors, whose sum is σ = 382542944256000. Its totient is φ = 17645373849600.

The previous prime is 84245452945909. The next prime is 84245452945931. The reversal of 84245452945920 is 2954925454248.

84245452945920 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 5 + 452 + 94 + 5 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84245452945909) and next prime (84245452945931).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41892317715 + ... + 41892319725.

It is an arithmetic number, because the mean of its divisors is an integer number (119544670080).

Almost surely, 2^{84245452945920} is an apocalyptic number.

84245452945920 is a gapful number since it is divisible by the number (80) 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 84245452945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191271472128000).

84245452945920 is an abundant number, since it is smaller than the sum of its proper divisors (298297491310080).

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

84245452945920 is a wasteful number, since it uses less digits than its factorization.

84245452945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 84245452945920 in words is "eighty-four trillion, two hundred forty-five billion, four hundred fifty-two million, nine hundred forty-five thousand, nine hundred twenty".