37446741648 has 120 divisors (see below), whose sum is σ = 110481785856. Its totient is φ = 11822515200.

The previous prime is 37446741643. The next prime is 37446741667. The reversal of 37446741648 is 84614764473.

37446741648 is a `hidden beast` number, since 37 + 446 + 7 + 4 + 164 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 37446741594 and 37446741603.

It is not an unprimeable number, because it can be changed into a prime (37446741643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120568 + ... + 299048.

Almost surely, 2^37446741648 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 37446741648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55240892928).

37446741648 is an abundant number, since it is smaller than the sum of its proper divisors (73035044208).

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

37446741648 is a wasteful number, since it uses less digits than its factorization.

37446741648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178573 (or 178564 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 37446741648 in words is "thirty-seven billion, four hundred forty-six million, seven hundred forty-one thousand, six hundred forty-eight".