46843356252000 has 768 divisors, whose sum is σ = 191485373054976. Its totient is φ = 9725541120000.

The previous prime is 46843356251987. The next prime is 46843356252031. The reversal of 46843356252000 is 25265334864.

It is a super-3 number, since 3×46843356252000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1137423409 + ... + 1137464591.

It is an arithmetic number, because the mean of its divisors is an integer number (249329912832).

Almost surely, 2^{46843356252000} is an apocalyptic number.

46843356252000 is a gapful number since it is divisible by the number (40) 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 46843356252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95742686527488).

46843356252000 is an abundant number, since it is smaller than the sum of its proper divisors (144642016802976).

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

46843356252000 is a wasteful number, since it uses less digits than its factorization.

46843356252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42460 (or 42442 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 46843356252000 in words is "forty-six trillion, eight hundred forty-three billion, three hundred fifty-six million, two hundred fifty-two thousand".