46749930499272 has 768 divisors, whose sum is σ = 158815417098240. Its totient is φ = 11135854080000.

The previous prime is 46749930499141. The next prime is 46749930499367. The reversal of 46749930499272 is 27299403994764.

It is a junction number, because it is equal to n+sod(n) for n = 46749930499194 and 46749930499203.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45788374122 + ... + 45788375142.

It is an arithmetic number, because the mean of its divisors is an integer number (206790907680).

Almost surely, 2^{46749930499272} is an apocalyptic number.

46749930499272 is a gapful number since it is divisible by the number (42) 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 46749930499272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79407708549120).

46749930499272 is an abundant number, since it is smaller than the sum of its proper divisors (112065486598968).

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

46749930499272 is a wasteful number, since it uses less digits than its factorization.

46749930499272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 75.

The spelling of 46749930499272 in words is "forty-six trillion, seven hundred forty-nine billion, nine hundred thirty million, four hundred ninety-nine thousand, two hundred seventy-two".