1387950773664 has 384 divisors, whose sum is σ = 4620484657152. Its totient is φ = 354988707840.

The previous prime is 1387950773543. The next prime is 1387950773683. The reversal of 1387950773664 is 4663770597831.

It is a super-2 number, since 2×1387950773664² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1387950773595 and 1387950773604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100518249 + ... + 100532055.

It is an arithmetic number, because the mean of its divisors is an integer number (12032512128).

Almost surely, 2^{1387950773664} is an apocalyptic number.

1387950773664 is a gapful number since it is divisible by the number (14) 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 1387950773664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310242328576).

1387950773664 is an abundant number, since it is smaller than the sum of its proper divisors (3232533883488).

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

1387950773664 is a wasteful number, since it uses less digits than its factorization.

1387950773664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 1387950773664 in words is "one trillion, three hundred eighty-seven billion, nine hundred fifty million, seven hundred seventy-three thousand, six hundred sixty-four".