46872683000 has 256 divisors, whose sum is σ = 129325472640. Its totient is φ = 15676416000.

The previous prime is 46872682991. The next prime is 46872683009. The reversal of 46872683000 is 38627864.

It is a Cunningham number, because it is equal to 216501²-1.

It is an interprime number because it is at equal distance from previous prime (46872682991) and next prime (46872683009).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46872683009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 61918622 + ... + 61919378.

Almost surely, 2^46872683000 is an apocalyptic number.

46872683000 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 46872683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64662736320).

46872683000 is an abundant number, since it is smaller than the sum of its proper divisors (82452789640).

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

46872683000 is a wasteful number, since it uses less digits than its factorization.

46872683000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 46872683000 in words is "forty-six billion, eight hundred seventy-two million, six hundred eighty-three thousand".