46778033952 has 480 divisors, whose sum is σ = 158351542272. Its totient is φ = 13419012096.

The previous prime is 46778033941. The next prime is 46778033957. The reversal of 46778033952 is 25933087764.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46778033957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72749343 + ... + 72749985.

Almost surely, 2^46778033952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46778033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79175771136).

46778033952 is an abundant number, since it is smaller than the sum of its proper divisors (111573508320).

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

46778033952 is a wasteful number, since it uses less digits than its factorization.

46778033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 46778033952 in words is "forty-six billion, seven hundred seventy-eight million, thirty-three thousand, nine hundred fifty-two".