46034053632 has 480 divisors, whose sum is σ = 165052293120. Its totient is φ = 12053422080.

The previous prime is 46034053621. The next prime is 46034053633. The reversal of 46034053632 is 23635043064.

46034053632 is a `hidden beast` number, since 4 + 60 + 34 + 0 + 536 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46034053633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18997573 + ... + 18999995.

It is an arithmetic number, because the mean of its divisors is an integer number (343858944).

Almost surely, 2^46034053632 is an apocalyptic number.

46034053632 is a gapful number since it is divisible by the number (42) 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 46034053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82526146560).

46034053632 is an abundant number, since it is smaller than the sum of its proper divisors (119018239488).

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

46034053632 is a wasteful number, since it uses less digits than its factorization.

46034053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 46034053632 its reverse (23635043064), we get a palindrome (69669096696).

The spelling of 46034053632 in words is "forty-six billion, thirty-four million, fifty-three thousand, six hundred thirty-two".