35372493801216 has 3456 divisors, whose sum is σ = 139034091356160. Its totient is φ = 8803875225600.

The previous prime is 35372493801193. The next prime is 35372493801257. The reversal of 35372493801216 is 61210839427353.

35372493801216 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 2 + 49 + 380 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 225302508210 + ... + 225302508366.

It is a 1-persistent number, because it is pandigital, but 2⋅35372493801216 = 70744987602432 is not.

Almost surely, 2^{35372493801216} is an apocalyptic number.

35372493801216 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 35372493801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69517045678080).

35372493801216 is an abundant number, since it is smaller than the sum of its proper divisors (103661597554944).

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

35372493801216 is a wasteful number, since it uses less digits than its factorization.

35372493801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 35372493801216 in words is "thirty-five trillion, three hundred seventy-two billion, four hundred ninety-three million, eight hundred one thousand, two hundred sixteen".