214119219254004 has 432 divisors, whose sum is σ = 628377062476800. Its totient is φ = 63563702552064.

The previous prime is 214119219253993. The next prime is 214119219254027. The reversal of 214119219254004 is 400452912911412.

214119219254004 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 9 + 219 + 25 + 400 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4584676117 + ... + 4584722819.

Almost surely, 2^{214119219254004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214119219254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314188531238400).

214119219254004 is an abundant number, since it is smaller than the sum of its proper divisors (414257843222796).

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

214119219254004 is a wasteful number, since it uses less digits than its factorization.

214119219254004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47634 (or 47603 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 214119219254004 in words is "two hundred fourteen trillion, one hundred nineteen billion, two hundred nineteen million, two hundred fifty-four thousand, four".