46968619991040 has 1632 divisors, whose sum is σ = 184612559788800. Its totient is φ = 10946378465280.

The previous prime is 46968619991023. The next prime is 46968619991107. The reversal of 46968619991040 is 4019991686964.

46968619991040 is a `hidden beast` number, since 469 + 6 + 8 + 61 + 9 + 99 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46968619991040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130831810381 + ... + 130831810739.

Almost surely, 2^{46968619991040} is an apocalyptic number.

46968619991040 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 46968619991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92306279894400).

46968619991040 is an abundant number, since it is smaller than the sum of its proper divisors (137643939797760).

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

46968619991040 is a wasteful number, since it uses less digits than its factorization.

46968619991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 46968619991040 in words is "forty-six trillion, nine hundred sixty-eight billion, six hundred nineteen million, nine hundred ninety-one thousand, forty".