214497807480 has 1280 divisors, whose sum is σ = 858097152000. Its totient is φ = 47551795200.

The previous prime is 214497807463. The next prime is 214497807493. The reversal of 214497807480 is 84708794412.

214497807480 is a `hidden beast` number, since 2 + 1 + 4 + 497 + 8 + 0 + 74 + 80 = 666.

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

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2715162081 + ... + 2715162159.

It is an arithmetic number, because the mean of its divisors is an integer number (670388400).

Almost surely, 2^214497807480 is an apocalyptic number.

214497807480 is a gapful number since it is divisible by the number (20) 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 214497807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429048576000).

214497807480 is an abundant number, since it is smaller than the sum of its proper divisors (643599344520).

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

214497807480 is a wasteful number, since it uses less digits than its factorization.

214497807480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 214497807480 in words is "two hundred fourteen billion, four hundred ninety-seven million, eight hundred seven thousand, four hundred eighty".