5642995499001 has 243 divisors, whose sum is σ = 10156392255789. Its totient is φ = 3010232332800.

The previous prime is 5642995498949. The next prime is 5642995499023. The reversal of 5642995499001 is 1009945992465.

The square root of 5642995499001 is 2375499.

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

5642995499001 is a `hidden beast` number, since 5 + 64 + 29 + 9 + 549 + 9 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3439908380601 + 2203087118400 = 1854699^2 + 1484280^2 .

It is not a de Polignac number, because 5642995499001 - 2¹⁵ = 5642995466233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5642995499001.

It is not an unprimeable number, because it can be changed into a prime (5642995499051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 63404443765 + ... + 63404443853.

Almost surely, 2^{5642995499001} is an apocalyptic number.

5642995499001 is the 2375499-th square number.

5642995499001 is the 1187750-th centered octagonal number.

It is an amenable number.

5642995499001 is a deficient number, since it is larger than the sum of its proper divisors (4513396756788).

5642995499001 is an equidigital number, since it uses as much as digits as its factorization.

5642995499001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 5642995499001 in words is "five trillion, six hundred forty-two billion, nine hundred ninety-five million, four hundred ninety-nine thousand, one".