214412775744 has 112 divisors (see below), whose sum is σ = 582611788800. Its totient is φ = 69558959616.

The previous prime is 214412775691. The next prime is 214412775749. The reversal of 214412775744 is 447577214412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 214412775693 and 214412775702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214412775749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548927 + ... + 1681665.

Almost surely, 2^214412775744 is an apocalyptic number.

214412775744 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 214412775744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291305894400).

214412775744 is an abundant number, since it is smaller than the sum of its proper divisors (368199013056).

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

214412775744 is a wasteful number, since it uses less digits than its factorization.

214412775744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132980 (or 132970 counting only the distinct ones).

The product of its digits is 1756160, while the sum is 48.

The spelling of 214412775744 in words is "two hundred fourteen billion, four hundred twelve million, seven hundred seventy-five thousand, seven hundred forty-four".