46820134033024 has 128 divisors (see below), whose sum is σ = 102146600079360. Its totient is φ = 21199812480000.

The previous prime is 46820134032989. The next prime is 46820134033031. The reversal of 46820134033024 is 42033043102864.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351174099 + ... + 1351208749.

It is an arithmetic number, because the mean of its divisors is an integer number (798020313120).

Almost surely, 2^{46820134033024} is an apocalyptic number.

46820134033024 is a gapful number since it is divisible by the number (44) 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 46820134033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51073300039680).

46820134033024 is an abundant number, since it is smaller than the sum of its proper divisors (55326466046336).

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

46820134033024 is a wasteful number, since it uses less digits than its factorization.

46820134033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38350 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 46820134033024 its reverse (42033043102864), we get a palindrome (88853177135888).

The spelling of 46820134033024 in words is "forty-six trillion, eight hundred twenty billion, one hundred thirty-four million, thirty-three thousand, twenty-four".