214045887825 has 432 divisors, whose sum is σ = 509404896000. Its totient is φ = 88098192000.

The previous prime is 214045887799. The next prime is 214045887859. The reversal of 214045887825 is 528788540412.

It is not a de Polignac number, because 214045887825 - 2⁵ = 214045887793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 428949426 + ... + 428949924.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178000).

Almost surely, 2^214045887825 is an apocalyptic number.

214045887825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214045887825 is an abundant number, since it is smaller than the sum of its proper divisors (295359008175).

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

214045887825 is a wasteful number, since it uses less digits than its factorization.

214045887825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

It can be divided in two parts, 214045 and 887825, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 214045887825 in words is "two hundred fourteen billion, forty-five million, eight hundred eighty-seven thousand, eight hundred twenty-five".