87805351943401 has 81 divisors (see below), whose sum is σ = 98208201889551. Its totient is φ = 78485098449408.

The previous prime is 87805351943369. The next prime is 87805351943483. The reversal of 87805351943401 is 10434915350878.

The square root of 87805351943401 is 9370451.

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

It can be written as a sum of positive squares in 13 ways, for example, as 262681875625 + 87542670067776 = 512525^2 + 9356424^2 .

It is not a de Polignac number, because 87805351943401 - 2⁵ = 87805351943369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87805351143401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 383429484355 + ... + 383429484583.

Almost surely, 2^{87805351943401} is an apocalyptic number.

87805351943401 is the 9370451-st square number.

87805351943401 is the 4685226-th centered octagonal number.

It is an amenable number.

87805351943401 is a deficient number, since it is larger than the sum of its proper divisors (10402849946150).

87805351943401 is an frugal number, since it uses more digits than its factorization.

87805351943401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 87805351943401 in words is "eighty-seven trillion, eight hundred five billion, three hundred fifty-one million, nine hundred forty-three thousand, four hundred one".