1452462622464 has 864 divisors, whose sum is σ = 4992880435200. Its totient is φ = 371960709120.

The previous prime is 1452462622453. The next prime is 1452462622517. The reversal of 1452462622464 is 4642262642541.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1465653009 + ... + 1465653999.

It is an arithmetic number, because the mean of its divisors is an integer number (5778796800).

Almost surely, 2^{1452462622464} is an apocalyptic number.

1452462622464 is a gapful number since it is divisible by the number (14) 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 1452462622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496440217600).

1452462622464 is an abundant number, since it is smaller than the sum of its proper divisors (3540417812736).

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

1452462622464 is a wasteful number, since it uses less digits than its factorization.

1452462622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1128 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 48.

The spelling of 1452462622464 in words is "one trillion, four hundred fifty-two billion, four hundred sixty-two million, six hundred twenty-two thousand, four hundred sixty-four".