37342141056 has 144 divisors (see below), whose sum is σ = 118113125130. Its totient is φ = 11315758080.

The previous prime is 37342141049. The next prime is 37342141087. The reversal of 37342141056 is 65014124373.

It can be written as a sum of positive squares in only one way, i.e., 27225000000 + 10117141056 = 165000^2 + 100584^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 37342141056.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5446 + ... + 273338.

Almost surely, 2^37342141056 is an apocalyptic number.

37342141056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37342141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59056562565).

37342141056 is an abundant number, since it is smaller than the sum of its proper divisors (80770984074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37342141056 is a wasteful number, since it uses less digits than its factorization.

37342141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267935 (or 267909 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 37342141056 in words is "thirty-seven billion, three hundred forty-two million, one hundred forty-one thousand, fifty-six".