37341681094656 has 325 divisors, whose sum is σ = 112644047740631. Its totient is φ = 12326380167168.

The previous prime is 37341681094579. The next prime is 37341681094661. The reversal of 37341681094656 is 65649018614373.

It is a happy number.

The square root of 37341681094656 is 6110784.

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

37341681094656 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 1 + 68 + 109 + 465 + 6 = 666.

It is a super-2 number, since 2×37341681094656² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37341681094593 and 37341681094602.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 362540593101 + ... + 362540593203.

Almost surely, 2^{37341681094656} is an apocalyptic number.

37341681094656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37341681094656 is the 6110784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37341681094656

37341681094656 is an abundant number, since it is smaller than the sum of its proper divisors (75302366645975).

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

37341681094656 is an frugal number, since it uses more digits than its factorization.

37341681094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 37341681094656 in words is "thirty-seven trillion, three hundred forty-one billion, six hundred eighty-one million, ninety-four thousand, six hundred fifty-six".