214990829581248 has 1120 divisors, whose sum is σ = 792444590530560. Its totient is φ = 56311288750080.

The previous prime is 214990829581207. The next prime is 214990829581291. The reversal of 214990829581248 is 842185928099412.

214990829581248 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 90 + 8 + 295 + 8 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1728952165 + ... + 1729076507.

Almost surely, 2^{214990829581248} is an apocalyptic number.

214990829581248 is a gapful number since it is divisible by the number (28) 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 214990829581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396222295265280).

214990829581248 is an abundant number, since it is smaller than the sum of its proper divisors (577453760949312).

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

214990829581248 is a wasteful number, since it uses less digits than its factorization.

214990829581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124487 (or 124468 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 214990829581248 in words is "two hundred fourteen trillion, nine hundred ninety billion, eight hundred twenty-nine million, five hundred eighty-one thousand, two hundred forty-eight".