37141794945216 has 2240 divisors, whose sum is σ = 131156386099200. Its totient is φ = 10302552539136.

The previous prime is 37141794945187. The next prime is 37141794945221. The reversal of 37141794945216 is 61254949714173.

37141794945216 is a `hidden beast` number, since 3 + 7 + 1 + 4 + 17 + 9 + 4 + 94 + 521 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 382905102480 + ... + 382905102576.

It is an arithmetic number, because the mean of its divisors is an integer number (58551958080).

Almost surely, 2^{37141794945216} is an apocalyptic number.

37141794945216 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 37141794945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65578193049600).

37141794945216 is an abundant number, since it is smaller than the sum of its proper divisors (94014591153984).

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

37141794945216 is a wasteful number, since it uses less digits than its factorization.

37141794945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 37141794945216 in words is "thirty-seven trillion, one hundred forty-one billion, seven hundred ninety-four million, nine hundred forty-five thousand, two hundred sixteen".