2215145011401 has 18 divisors (see below), whose sum is σ = 3722046380442. Its totient is φ = 1265797149120.

The previous prime is 2215145011361. The next prime is 2215145011439. The reversal of 2215145011401 is 1041105415122.

2215145011401 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 14 + 501 + 140 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1247432103225 + 967712908176 = 1116885^2 + 983724^2 .

It is not a de Polignac number, because 2215145011401 - 2²⁶ = 2215077902537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2215145011901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2511501840 + ... + 2511502721.

It is an arithmetic number, because the mean of its divisors is an integer number (206780354469).

Almost surely, 2^{2215145011401} is an apocalyptic number.

2215145011401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2215145011401 is a deficient number, since it is larger than the sum of its proper divisors (1506901369041).

2215145011401 is a wasteful number, since it uses less digits than its factorization.

2215145011401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023004581 (or 5023004571 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 2215145011401 in words is "two trillion, two hundred fifteen billion, one hundred forty-five million, eleven thousand, four hundred one".