33838772054976 has 1792 divisors, whose sum is σ = 125415877509120. Its totient is φ = 8736332267520.

The previous prime is 33838772054959. The next prime is 33838772054993. The reversal of 33838772054976 is 67945027783833.

It is a happy number.

33838772054976 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 8 + 7 + 7 + 2 + 0 + 549 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (33838772054959) and next prime (33838772054993).

It is a super-2 number, since 2×33838772054976² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90720568326 + ... + 90720568698.

Almost surely, 2^{33838772054976} is an apocalyptic number.

33838772054976 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 33838772054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62707938754560).

33838772054976 is an abundant number, since it is smaller than the sum of its proper divisors (91577105454144).

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

33838772054976 is a wasteful number, since it uses less digits than its factorization.

33838772054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 33838772054976 in words is "thirty-three trillion, eight hundred thirty-eight billion, seven hundred seventy-two million, fifty-four thousand, nine hundred seventy-six".