2114405669376 has 2400 divisors, whose sum is σ = 8920789282944. Its totient is φ = 481340620800.

The previous prime is 2114405669359. The next prime is 2114405669399. The reversal of 2114405669376 is 6739665044112.

It is a happy number.

2114405669376 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 0 + 566 + 9 + 3 + 76 = 666.

It is a super-2 number, since 2×2114405669376² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39894446566 + ... + 39894446618.

Almost surely, 2^{2114405669376} is an apocalyptic number.

2114405669376 is a gapful number since it is divisible by the number (26) 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 2114405669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460394641472).

2114405669376 is an abundant number, since it is smaller than the sum of its proper divisors (6806383613568).

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

2114405669376 is a wasteful number, since it uses less digits than its factorization.

2114405669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2114405669376 in words is "two trillion, one hundred fourteen billion, four hundred five million, six hundred sixty-nine thousand, three hundred seventy-six".