46869949797888 has 1920 divisors, whose sum is σ = 167924932116480. Its totient is φ = 11507619594240.

The previous prime is 46869949797851. The next prime is 46869949797889. The reversal of 46869949797888 is 88879794996864.

It is a Harshad number since it is a multiple of its sum of digits (102).

It is a junction number, because it is equal to n+sod(n) for n = 46869949797792 and 46869949797801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46869949797889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75718820043 + ... + 75718820661.

It is an arithmetic number, because the mean of its divisors is an integer number (87460902144).

Almost surely, 2^{46869949797888} is an apocalyptic number.

46869949797888 is a gapful number since it is divisible by the number (48) 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 46869949797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83962466058240).

46869949797888 is an abundant number, since it is smaller than the sum of its proper divisors (121054982318592).

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

46869949797888 is a wasteful number, since it uses less digits than its factorization.

46869949797888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its digits is 758487711744, while the sum is 102.

The spelling of 46869949797888 in words is "forty-six trillion, eight hundred sixty-nine billion, nine hundred forty-nine million, seven hundred ninety-seven thousand, eight hundred eighty-eight".