33954463872 has 448 divisors, whose sum is σ = 116926516800. Its totient is φ = 9616361472.

The previous prime is 33954463813. The next prime is 33954463889. The reversal of 33954463872 is 27836445933.

33954463872 is a `hidden beast` number, since 3 + 39 + 544 + 63 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 148272654 + ... + 148272882.

Almost surely, 2^33954463872 is an apocalyptic number.

33954463872 is a gapful number since it is divisible by the number (32) 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 33954463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58463258400).

33954463872 is an abundant number, since it is smaller than the sum of its proper divisors (82972052928).

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

33954463872 is an equidigital number, since it uses as much as digits as its factorization.

33954463872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 33954463872 in words is "thirty-three billion, nine hundred fifty-four million, four hundred sixty-three thousand, eight hundred seventy-two".