1949512675968 has 640 divisors, whose sum is σ = 6872967541440. Its totient is φ = 545268049920.

The previous prime is 1949512675921. The next prime is 1949512675991. The reversal of 1949512675968 is 8695762159491.

1949512675968 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 5 + 1 + 26 + 7 + 596 + 8 = 666.

It is a super-3 number, since 3×1949512675968³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1949512675896 and 1949512675905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179392071 + ... + 179402937.

Almost surely, 2^{1949512675968} is an apocalyptic number.

1949512675968 is a gapful number since it is divisible by the number (18) 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 1949512675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436483770720).

1949512675968 is an abundant number, since it is smaller than the sum of its proper divisors (4923454865472).

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

1949512675968 is a wasteful number, since it uses less digits than its factorization.

1949512675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10939 (or 10896 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 1949512675968 in words is "one trillion, nine hundred forty-nine billion, five hundred twelve million, six hundred seventy-five thousand, nine hundred sixty-eight".