46954619712 has 1344 divisors, whose sum is σ = 194272985088. Its totient is φ = 10450944000.

The previous prime is 46954619671. The next prime is 46954619717. The reversal of 46954619712 is 21791645964.

46954619712 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 4 + 619 + 7 + 12 = 666.

46954619712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46954619717) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661332637 + ... + 661332707.

It is an arithmetic number, because the mean of its divisors is an integer number (144548352).

Almost surely, 2^46954619712 is an apocalyptic number.

46954619712 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 46954619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136492544).

46954619712 is an abundant number, since it is smaller than the sum of its proper divisors (147318365376).

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

46954619712 is a wasteful number, since it uses less digits than its factorization.

46954619712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

It can be divided in two parts, 46954 and 619712, that added together give a palindrome (666666).

The spelling of 46954619712 in words is "forty-six billion, nine hundred fifty-four million, six hundred nineteen thousand, seven hundred twelve".