88952466001 has 27 divisors (see below), whose sum is σ = 104572367067. Its totient is φ = 75445067040.

The previous prime is 88952465989. The next prime is 88952466007. The reversal of 88952466001 is 10066425988.

The square root of 88952466001 is 298249.

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

It can be written as a sum of positive squares in only one way, i.e., 52251102225 + 36701363776 = 228585^2 + 191576^2 .

It is not a de Polignac number, because 88952466001 - 2⁵ = 88952465969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (88952466007) 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, 286020636 + ... + 286020946.

Almost surely, 2^88952466001 is an apocalyptic number.

88952466001 is the 298249-th square number.

88952466001 is the 149125-th centered octagonal number.

It is an amenable number.

88952466001 is a deficient number, since it is larger than the sum of its proper divisors (15619901066).

88952466001 is an frugal number, since it uses more digits than its factorization.

88952466001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 88952466001 by its sum of digits (49), we get a square (4358670834049 = 2087743²).

88952466001 divided by its sum of digits (49) gives a square (1815356449 = 42607²).

The spelling of 88952466001 in words is "eighty-eight billion, nine hundred fifty-two million, four hundred sixty-six thousand, one".