1652088632896 has 189 divisors, whose sum is σ = 3776241814659. Its totient is φ = 716662222848.

The previous prime is 1652088632891. The next prime is 1652088632963. The reversal of 1652088632896 is 6982368802561.

The square root of 1652088632896 is 1285336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14917202496 + 1637171430400 = 122136^2 + 1279520^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1652088632891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2272473685 + ... + 2272474411.

Almost surely, 2^{1652088632896} is an apocalyptic number.

1652088632896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1652088632896 is the 1285336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1652088632896

1652088632896 is an abundant number, since it is smaller than the sum of its proper divisors (2124153181763).

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

1652088632896 is an frugal number, since it uses more digits than its factorization.

1652088632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 1652088632896 by its sum of digits (64), we get a square (105733672505344 = 10282688²).

1652088632896 divided by its sum of digits (64) gives a square (25813884889 = 160667²).

The spelling of 1652088632896 in words is "one trillion, six hundred fifty-two billion, eighty-eight million, six hundred thirty-two thousand, eight hundred ninety-six".