4457852534016 has 1152 divisors, whose sum is σ = 16898936463360. Its totient is φ = 1129195634688.

The previous prime is 4457852533973. The next prime is 4457852534041. The reversal of 4457852534016 is 6104352587544.

4457852534016 is a `hidden beast` number, since 4 + 4 + 5 + 78 + 525 + 3 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1267513890 + ... + 1267517406.

It is an arithmetic number, because the mean of its divisors is an integer number (14669215680).

Almost surely, 2^{4457852534016} is an apocalyptic number.

4457852534016 is a gapful number since it is divisible by the number (46) 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 4457852534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449468231680).

4457852534016 is an abundant number, since it is smaller than the sum of its proper divisors (12441083929344).

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

4457852534016 is a wasteful number, since it uses less digits than its factorization.

4457852534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 4457852534016 in words is "four trillion, four hundred fifty-seven billion, eight hundred fifty-two million, five hundred thirty-four thousand, sixteen".