1972071146496 has 704 divisors, whose sum is σ = 6288674837760. Its totient is φ = 542638080000.

The previous prime is 1972071146489. The next prime is 1972071146509. The reversal of 1972071146496 is 6946411702791.

It is a tau number, because it is divible by the number of its divisors (704).

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, 2378855010 + ... + 2378855838.

Almost surely, 2^{1972071146496} is an apocalyptic number.

1972071146496 is a gapful number since it is divisible by the number (16) 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 1972071146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144337418880).

1972071146496 is an abundant number, since it is smaller than the sum of its proper divisors (4316603691264).

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

1972071146496 is a wasteful number, since it uses less digits than its factorization.

1972071146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 1972071146496 in words is "one trillion, nine hundred seventy-two billion, seventy-one million, one hundred forty-six thousand, four hundred ninety-six".