214629619987104 has 384 divisors, whose sum is σ = 680722611351552. Its totient is φ = 57928792965120.

The previous prime is 214629619987073. The next prime is 214629619987121. The reversal of 214629619987104 is 401789916926412.

It is a super-2 number, since 2×214629619987104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177947344 + ... + 179149424.

It is an arithmetic number, because the mean of its divisors is an integer number (1772715133728).

Almost surely, 2^{214629619987104} is an apocalyptic number.

214629619987104 is a gapful number since it is divisible by the number (24) 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 214629619987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340361305675776).

214629619987104 is an abundant number, since it is smaller than the sum of its proper divisors (466092991364448).

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

214629619987104 is a wasteful number, since it uses less digits than its factorization.

214629619987104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202348 (or 1202340 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 214629619987104 in words is "two hundred fourteen trillion, six hundred twenty-nine billion, six hundred nineteen million, nine hundred eighty-seven thousand, one hundred four".