35481267216 has 400 divisors, whose sum is σ = 112315382784. Its totient is φ = 10781641728.

The previous prime is 35481267203. The next prime is 35481267233. The reversal of 35481267216 is 61276218453.

35481267216 is a `hidden beast` number, since 3 + 548 + 1 + 26 + 72 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58453185 + ... + 58453791.

Almost surely, 2^35481267216 is an apocalyptic number.

35481267216 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 35481267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157691392).

35481267216 is an abundant number, since it is smaller than the sum of its proper divisors (76834115568).

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

35481267216 is a wasteful number, since it uses less digits than its factorization.

35481267216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 35481267216 in words is "thirty-five billion, four hundred eighty-one million, two hundred sixty-seven thousand, two hundred sixteen".