1387492356096 has 936 divisors, whose sum is σ = 5174995428512. Its totient is φ = 350355456000.

The previous prime is 1387492356091. The next prime is 1387492356113. The reversal of 1387492356096 is 6906532947831.

1387492356096 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 49 + 23 + 560 + 9 + 6 = 666.

It is a super-3 number, since 3×1387492356096³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387492356091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1155280296 + ... + 1155281496.

It is a 1-persistent number, because it is pandigital, but 2⋅1387492356096 = 2774984712192 is not.

Almost surely, 2^{1387492356096} is an apocalyptic number.

1387492356096 is a gapful number since it is divisible by the number (16) 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 1387492356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587497714256).

1387492356096 is an abundant number, since it is smaller than the sum of its proper divisors (3787503072416).

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

1387492356096 is a wasteful number, since it uses less digits than its factorization.

1387492356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1387492356096 in words is "one trillion, three hundred eighty-seven billion, four hundred ninety-two million, three hundred fifty-six thousand, ninety-six".