46035505152 has 312 divisors, whose sum is σ = 163673741504. Its totient is φ = 12140347392.

The previous prime is 46035505133. The next prime is 46035505199. The reversal of 46035505152 is 25150553064.

46035505152 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 550 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3347763 + ... + 3361485.

Almost surely, 2^46035505152 is an apocalyptic number.

46035505152 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 46035505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81836870752).

46035505152 is an abundant number, since it is smaller than the sum of its proper divisors (117638236352).

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

46035505152 is a wasteful number, since it uses less digits than its factorization.

46035505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 46035505152 in words is "forty-six billion, thirty-five million, five hundred five thousand, one hundred fifty-two".