21348101261376 has 420 divisors, whose sum is σ = 66368861342784. Its totient is φ = 6784483622400.

The previous prime is 21348101261369. The next prime is 21348101261437. The reversal of 21348101261376 is 67316210184312.

21348101261376 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 8 + 10 + 1 + 261 + 376 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 852853981 + ... + 852879011.

Almost surely, 2^{21348101261376} 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 21348101261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33184430671392).

21348101261376 is an abundant number, since it is smaller than the sum of its proper divisors (45020760081408).

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

21348101261376 is a wasteful number, since it uses less digits than its factorization.

21348101261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25412 (or 25370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21348101261376 in words is "twenty-one trillion, three hundred forty-eight billion, one hundred one million, two hundred sixty-one thousand, three hundred seventy-six".