1377453643398 has 96 divisors (see below), whose sum is σ = 3469233081600. Its totient is φ = 386822495808.

The previous prime is 1377453643393. The next prime is 1377453643417. The reversal of 1377453643398 is 8933463547731.

1377453643398 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 536 + 4 + 3 + 3 + 98 = 666.

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 (1377453643393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59185308 + ... + 59208576.

It is an arithmetic number, because the mean of its divisors is an integer number (36137844600).

Almost surely, 2^{1377453643398} is an apocalyptic number.

1377453643398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377453643398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734616540800).

1377453643398 is an abundant number, since it is smaller than the sum of its proper divisors (2091779438202).

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

1377453643398 is a wasteful number, since it uses less digits than its factorization.

1377453643398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31303 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 1377453643398 in words is "one trillion, three hundred seventy-seven billion, four hundred fifty-three million, six hundred forty-three thousand, three hundred ninety-eight".