46951019926272 has 1080 divisors, whose sum is σ = 177861550870080. Its totient is φ = 12181353246720.

The previous prime is 46951019926253. The next prime is 46951019926273. The reversal of 46951019926272 is 27262991015964.

46951019926272 is a `hidden beast` number, since 4 + 6 + 9 + 510 + 1 + 9 + 92 + 6 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46951019926273) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13266745879 + ... + 13266749417.

It is an arithmetic number, because the mean of its divisors is an integer number (164686621176).

Almost surely, 2^{46951019926272} is an apocalyptic number.

46951019926272 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 46951019926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88930775435040).

46951019926272 is an abundant number, since it is smaller than the sum of its proper divisors (130910530943808).

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

46951019926272 is a wasteful number, since it uses less digits than its factorization.

46951019926272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 46951019926272 in words is "forty-six trillion, nine hundred fifty-one billion, nineteen million, nine hundred twenty-six thousand, two hundred seventy-two".