2283117978001 has 9 divisors (see below), whose sum is σ = 2655884237499. Its totient is φ = 1956949200864.

The previous prime is 2283117977963. The next prime is 2283117978019. The reversal of 2283117978001 is 1008797113822.

The square root of 2283117978001 is 1510999.

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., 1960294011025 + 322823966976 = 1400105^2 + 568176^2 .

It is not a de Polignac number, because 2283117978001 - 2¹³ = 2283117969809 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2283117978041) 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 8 ways as a sum of consecutive naturals, for example, 10469065 + ... + 10684921.

It is an arithmetic number, because the mean of its divisors is an integer number (295098248611).

Almost surely, 2^{2283117978001} is an apocalyptic number.

2283117978001 is the 1510999-th square number.

2283117978001 is the 755500-th centered octagonal number.

It is an amenable number.

2283117978001 is a deficient number, since it is larger than the sum of its proper divisors (372766259498).

2283117978001 is an frugal number, since it uses more digits than its factorization.

2283117978001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431728 (or 215864 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 49.

Multiplying 2283117978001 by its sum of digits (49), we get a square (111872780922049 = 10576993²).

2283117978001 divided by its sum of digits (49) gives a square (46594244449 = 215857²).

The spelling of 2283117978001 in words is "two trillion, two hundred eighty-three billion, one hundred seventeen million, nine hundred seventy-eight thousand, one".