1972913608314 has 128 divisors (see below), whose sum is σ = 4821223680000. Its totient is φ = 593066845440.

The previous prime is 1972913608313. The next prime is 1972913608331. The reversal of 1972913608314 is 4138063192791.

1972913608314 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 9 + 13 + 608 + 3 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1972913608313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49479874 + ... + 49519730.

It is an arithmetic number, because the mean of its divisors is an integer number (37665810000).

Almost surely, 2^{1972913608314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972913608314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840000).

1972913608314 is an abundant number, since it is smaller than the sum of its proper divisors (2848310071686).

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

1972913608314 is a wasteful number, since it uses less digits than its factorization.

1972913608314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40545 (or 40539 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1972913608314 in words is "one trillion, nine hundred seventy-two billion, nine hundred thirteen million, six hundred eight thousand, three hundred fourteen".