37281868268544 has 693 divisors, whose sum is σ = 115445907102981. Its totient is φ = 12028110888960.

The previous prime is 37281868268537. The next prime is 37281868268563. The reversal of 37281868268544 is 44586286818273.

The square root of 37281868268544 is 6105888.

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

37281868268544 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 18 + 6 + 8 + 2 + 68 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33360327705600 + 3921540562944 = 5775840^2 + 1980288^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 195193027489 + ... + 195193027679.

Almost surely, 2^{37281868268544} is an apocalyptic number.

37281868268544 is the 6105888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37281868268544

37281868268544 is an abundant number, since it is smaller than the sum of its proper divisors (78164038834437).

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

37281868268544 is an frugal number, since it uses more digits than its factorization.

37281868268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 233 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 37281868268544 in words is "thirty-seven trillion, two hundred eighty-one billion, eight hundred sixty-eight million, two hundred sixty-eight thousand, five hundred forty-four".