37436642214048 has 768 divisors, whose sum is σ = 140625672929280. Its totient is φ = 9403367500800.

The previous prime is 37436642214029. The next prime is 37436642214061. The reversal of 37436642214048 is 84041224663473.

37436642214048 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 6 + 6 + 4 + 221 + 404 + 8 = 666.

37436642214048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37436642213985 and 37436642214003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3264722811 + ... + 3264734277.

It is an arithmetic number, because the mean of its divisors is an integer number (183106344960).

Almost surely, 2^{37436642214048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37436642214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70312836464640).

37436642214048 is an abundant number, since it is smaller than the sum of its proper divisors (103189030715232).

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

37436642214048 is a wasteful number, since it uses less digits than its factorization.

37436642214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 37436642214048 in words is "thirty-seven trillion, four hundred thirty-six billion, six hundred forty-two million, two hundred fourteen thousand, forty-eight".