1462520968272 has 480 divisors, whose sum is σ = 5091514122240. Its totient is φ = 381607511040.

The previous prime is 1462520968253. The next prime is 1462520968309. The reversal of 1462520968272 is 2728690252641.

1462520968272 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 520 + 96 + 8 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717272629 + ... + 717274667.

It is an arithmetic number, because the mean of its divisors is an integer number (10607321088).

Almost surely, 2^{1462520968272} is an apocalyptic number.

1462520968272 is a gapful number since it is divisible by the number (12) 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 1462520968272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545757061120).

1462520968272 is an abundant number, since it is smaller than the sum of its proper divisors (3628993153968).

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

1462520968272 is a wasteful number, since it uses less digits than its factorization.

1462520968272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1462520968272 in words is "one trillion, four hundred sixty-two billion, five hundred twenty million, nine hundred sixty-eight thousand, two hundred seventy-two".