46778199187764 has 192 divisors, whose sum is σ = 121502633140224. Its totient is φ = 13888573440000.

The previous prime is 46778199187747. The next prime is 46778199187781.

46778199187764 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46778199187747) and next prime (46778199187781).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038085794 + ... + 1038130854.

It is an arithmetic number, because the mean of its divisors is an integer number (632826214272).

Almost surely, 2^{46778199187764} is an apocalyptic number.

46778199187764 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 46778199187764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60751316570112).

46778199187764 is an abundant number, since it is smaller than the sum of its proper divisors (74724433952460).

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

46778199187764 is a wasteful number, since it uses less digits than its factorization.

46778199187764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45838 (or 45836 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 84.

The spelling of 46778199187764 in words is "forty-six trillion, seven hundred seventy-eight billion, one hundred ninety-nine million, one hundred eighty-seven thousand, seven hundred sixty-four".