33978621954816 has 1080 divisors, whose sum is σ = 129324927173904. Its totient is φ = 8774101647360.

The previous prime is 33978621954787. The next prime is 33978621954883. The reversal of 33978621954816 is 61845912687933.

33978621954816 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 8 + 62 + 1 + 9 + 548 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1933561006 + ... + 1933578578.

Almost surely, 2^{33978621954816} is an apocalyptic number.

33978621954816 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 33978621954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64662463586952).

33978621954816 is an abundant number, since it is smaller than the sum of its proper divisors (95346305219088).

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

33978621954816 is a wasteful number, since it uses less digits than its factorization.

33978621954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17799 (or 17769 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 33978621954816 in words is "thirty-three trillion, nine hundred seventy-eight billion, six hundred twenty-one million, nine hundred fifty-four thousand, eight hundred sixteen".