33145526245020 has 384 divisors, whose sum is σ = 113709169115136. Its totient is φ = 7050051723264.

The previous prime is 33145526245019. The next prime is 33145526245129. The reversal of 33145526245020 is 2054262554133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75602764 + ... + 76039916.

It is an arithmetic number, because the mean of its divisors is an integer number (296117627904).

Almost surely, 2^{33145526245020} is an apocalyptic number.

33145526245020 is a gapful number since it is divisible by the number (30) 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 33145526245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56854584557568).

33145526245020 is an abundant number, since it is smaller than the sum of its proper divisors (80563642870116).

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

33145526245020 is a wasteful number, since it uses less digits than its factorization.

33145526245020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437409 (or 437407 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 33145526245020 its reverse (2054262554133), we get a palindrome (35199788799153).

The spelling of 33145526245020 in words is "thirty-three trillion, one hundred forty-five billion, five hundred twenty-six million, two hundred forty-five thousand, twenty".